<p><b>Abstract</b>—We address and analyze the problems existing on the exchanged hypercube proposed by Loh et al., an interconnection network obtained by systematically removing links from a hypercube. By taking the wrong number of links, the exchanged hypercube suffers from two problems. Necessary modifications on the exchanged hypercube, including the incremental expandability and the ratio of the number of links in <tmath>EH(s, t)</tmath> to that of an <tmath>(s + t + 1){\hbox{-}}{\rm dimensional}</tmath> hypercube, are made.</p>